The sum of 1/9, 2/3, and 5/18 is 19/18, or 1 1/18.
Answer: I'm pretty sure it's the 3rd one
Step-by-step explanation:
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
She is only looking at the data greater that the mean value, thus the proper test recommended in this is to test via the two sided or two tailed test.
Step-by-step explanation:
Following is the error in her test
- <em>She is only looking at if the data were greater than 23.44 years old at time of first marriage </em>and that is what her alternative hypothesis is that she is currently testing would be.
- She would instead need to conduct a two sided test, or a two sided t-test, to get the results that she wants and in that event she would have to instead make her alternative hypothesis not equal to 23.44. This would fix her error in her hypotheses.